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NCEA Level 3 Calculus Video Tutorials
ï‚·Intro video (Definition and differentiating graphs)
Basic Differentiation (Exponentials and Natural Logs)
Stationary Points (Max, Min, 2nd Derivative)
Identifying points on a graph (Continuous, Discontinuous, Limits, Concave, Convex)
Complex Numbers
Change Surds to Rational Numbers
Reading Argand Diagrams
Subtracting/Multiplying Real/Imaginary numbers.
Convert 1/(1+i) into the form a+bi
Polar to Rectangular
Rectangular to Polar.
Synthetic Division
De Moivres.
Dividing Polar Form
What is rcis@, z , Conjugate z ,i (i Squared), Polar and Rectangular Form.
Differentiation
Differentiation
Introduction Video
Introduction Video
Basic Differentiation
Basic Differentiation
• Basic Differentiation (Exponentials and Natural
Basic Differentiation (Exponentials and Natural Logs)
Chain Rule
Chain Rule (Including Surds)
Basic Differentiation (Trig)
Basic Differentiation (Trig)
Product Rule (Pilot)
Product Rule (Pilot)
Quotient Rule
Quotient Rule
Gradients
Gradients
Tangents
Tangents
Perpendicular
Perpendicular
Stationary Points (Max, Min, 2nd Derivative)
Stationary Points (Max, Min, 2nd Derivative)
Rates of Change
Rates of Change
Parametric Differentiation
Parametric Differentiation
Implicit Differentiation
Implicit Differentiation
Identifying points on a graph
Identifying points on a graph (Continuous, Discontinuous, Limits, Concave, Convex)
Intergration
Intergration
Basic Integration (Other)
Basic Integration (Other)
Basic Integration (Exponentials and Natural Logs
Basic Integration (Exponentials and Natural Logs)
Integration via Substitution
Integration via Substitution
Trapezium Rule
Trapezium Rule
Simpson’s Rule
Simpson’s Rule
Area under the curve
Area under the curve
Differential Equations (Basics- Proportionality)
Differential Equations (Basics- Proportionality)
Change Surds to Rational Numbers
Complex Numbers
Change of surds to rational numbers
Change Surds to Rational Numbers
Reading Argand Diagrams
Reading Argand Diagrams
Subtracting/Multiplying Real/Imaginary numbers.
Subtracting/Multiplying Real/Imaginary numbers.
Convert 1/(1+i) into the form a+bi
Convert 1/(1+i) into the form a+bi
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